#numbers — Public Fediverse posts

A008810: a(n) = ceiling(n^2/3)
A008810 ➡️ https://oeis.org/A008810

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A008810.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A008810.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A008810.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of prime numbers:
- a new classification of primes ➡️ https://decompwlj.com/primedecomp.php
- in 3D - threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A008364: 11-rough numbers: not divisible by 2, 3, 5 or 7
A008364 ➡️ https://oeis.org/A008364

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/11-rough_numbers.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/11-rough_numbers.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/11-rough_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007957: Numbers that contain an odd digit
A007957 ➡️ https://oeis.org/A007957

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007957.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007957.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007957.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007957: Numbers that contain an odd digit
A007957 ➡️ https://oeis.org/A007957

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007957.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007957.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007957.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007957: Numbers that contain an odd digit
A007957 ➡️ https://oeis.org/A007957

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007957.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007957.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007957.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007957: Numbers that contain an odd digit
A007957 ➡️ https://oeis.org/A007957

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007957.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007957.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007957.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007957: Numbers that contain an odd digit
A007957 ➡️ https://oeis.org/A007957

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007957.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007957.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007957.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

150 sequences decomposed into weight × level + jump in one GIF (log(weight),log(level)):
1000 sequences decomposed on https://decompwlj.com

#decompwlj #math #mathematics #maths #sequence #OEIS #graph #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007932: Numbers that contain only 1's, 2's and 3's
A007932 ➡️ https://oeis.org/A007932

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007932.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007932.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007932.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007932: Numbers that contain only 1's, 2's and 3's
A007932 ➡️ https://oeis.org/A007932

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007932.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007932.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007932.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007932: Numbers that contain only 1's, 2's and 3's
A007932 ➡️ https://oeis.org/A007932

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007932.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007932.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007932.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007932: Numbers that contain only 1's, 2's and 3's
A007932 ➡️ https://oeis.org/A007932

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007932.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007932.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007932.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007932: Numbers that contain only 1's, 2's and 3's
A007932 ➡️ https://oeis.org/A007932

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007932.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007932.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007932.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007921: Numbers that are not the difference of two primes
A007921 ➡️ https://oeis.org/A007921

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007921.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007921.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007921.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007921: Numbers that are not the difference of two primes
A007921 ➡️ https://oeis.org/A007921

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007921.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007921.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007921.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007921: Numbers that are not the difference of two primes
A007921 ➡️ https://oeis.org/A007921

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007921.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007921.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007921.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007921: Numbers that are not the difference of two primes
A007921 ➡️ https://oeis.org/A007921

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007921.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007921.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007921.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007921: Numbers that are not the difference of two primes
A007921 ➡️ https://oeis.org/A007921

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007921.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007921.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007921.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007811: Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes
A007811 ➡️ https://oeis.org/A007811

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007811.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007811.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007811.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007811: Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes
A007811 ➡️ https://oeis.org/A007811

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007811.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007811.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007811.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007811: Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes
A007811 ➡️ https://oeis.org/A007811

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007811.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007811.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007811.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007811: Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes
A007811 ➡️ https://oeis.org/A007811

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007811.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007811.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007811.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007811: Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes
A007811 ➡️ https://oeis.org/A007811

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007811.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007811.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007811.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

## mandelbrot 16:29

# syntax

* `nice -19 fraqtive &`
* type *julia*
* variant *conjugate*
* parameters *x 0.4 y 0.5*
* exponent *real=2.91*
* zoom *10^-0.45*
* rotation *10.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few s

## Julia Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

**Advanced fractal mathematics** by *Gerold van Dijk*

* https://uvs.edu.sr/books/advanced_fractal_math_v2.4.txt
* defunct!

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

## mandelbrot 16:29

# syntax

* `nice -19 fraqtive &`
* type *julia*
* variant *conjugate*
* parameters *x 0.4 y 0.5*
* exponent *real=2.91*
* zoom *10^-0.45*
* rotation *10.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few s

## Julia Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

**Advanced fractal mathematics** by *Gerold van Dijk*

* https://uvs.edu.sr/books/advanced_fractal_math_v2.4.txt
* defunct!

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

## mandelbrot 16:29

# syntax

* `nice -19 fraqtive &`
* type *julia*
* variant *conjugate*
* parameters *x 0.4 y 0.5*
* exponent *real=2.91*
* zoom *10^-0.45*
* rotation *10.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few s

## Julia Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

**Advanced fractal mathematics** by *Gerold van Dijk*

* https://uvs.edu.sr/books/advanced_fractal_math_v2.4.txt
* defunct!

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

## mandelbrot 16:29

# syntax

* `nice -19 fraqtive &`
* type *julia*
* variant *conjugate*
* parameters *x 0.4 y 0.5*
* exponent *real=2.91*
* zoom *10^-0.45*
* rotation *10.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few s

## Julia Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

**Advanced fractal mathematics** by *Gerold van Dijk*

* https://uvs.edu.sr/books/advanced_fractal_math_v2.4.txt
* defunct!

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

## mandelbrot 16:29

# syntax

* `nice -19 fraqtive &`
* type *julia*
* variant *conjugate*
* parameters *x 0.4 y 0.5*
* exponent *real=2.91*
* zoom *10^-0.45*
* rotation *10.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few s

## Julia Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

**Advanced fractal mathematics** by *Gerold van Dijk*

* https://uvs.edu.sr/books/advanced_fractal_math_v2.4.txt
* defunct!

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

A007770: Happy numbers: numbers whose trajectory under iteration of sum of squares of digits map (see A003132) includes 1
A007770 ➡️ https://oeis.org/A007770

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Happy_numbers.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Happy_numbers.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Happy_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

My data have not been verified but my work is highly reproducible.
- Downloads (csv, img, dump) ➡️ https://decompwlj.com/
- Algorithms ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump#Algorithms

#decompwlj #math #mathematics #maths #sequence #OEIS #PARIGP #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007703: Regular primes
A007703 ➡️ https://oeis.org/A007703

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Regular_primes.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Regular_primes.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Regular_primes.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007700: Numbers n such that n, 2n+1, and 4n+3 all prime
A007700 ➡️ https://oeis.org/A007700

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007700.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007700.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007700.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

In the decomposition into weight × level + jump, the Twin Prime Conjecture becomes: "The number of prime numbers with a weight of 3 is infinite"

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #numbers #TwinPrimes #twin #primes #conjecture #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007692: Numbers that are the sum of 2 nonzero squares in 2 or more ways
A007692 ➡️ https://oeis.org/A007692

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007692.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007692.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007692.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

## mandelbrot 04:19

# syntax

* `nice -19 fraqtive &`
* type *mandelbrot*
* variant *absolute Im.*
* parameters *x 0.51 y 0.53*
* exponent *real=3.11*
* zoom *10^-0.45*
* rotation *20.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few ms

## Standard Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

**Advanced fractal mathematics** by *Gerold van Dijk*

* https://uvs.edu.sr/books/advanced_fractal_math_v2.4.txt
* defunct!

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

## mandelbrot 04:19

# syntax

* `nice -19 fraqtive &`
* type *mandelbrot*
* variant *absolute Im.*
* parameters *x 0.51 y 0.53*
* exponent *real=3.11*
* zoom *10^-0.45*
* rotation *20.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few ms

## Standard Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

**Advanced fractal mathematics** by *Gerold van Dijk*

* https://uvs.edu.sr/books/advanced_fractal_math_v2.4.txt
* defunct!

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

## mandelbrot 04:19

# syntax

* `nice -19 fraqtive &`
* type *mandelbrot*
* variant *absolute Im.*
* parameters *x 0.51 y 0.53*
* exponent *real=3.11*
* zoom *10^-0.45*
* rotation *20.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few ms

## Standard Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

**Advanced fractal mathematics** by *Gerold van Dijk*

* https://uvs.edu.sr/books/advanced_fractal_math_v2.4.txt
* defunct!

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

## mandelbrot 04:19

# syntax

* `nice -19 fraqtive &`
* type *mandelbrot*
* variant *absolute Im.*
* parameters *x 0.51 y 0.53*
* exponent *real=3.11*
* zoom *10^-0.45*
* rotation *20.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few ms

## Standard Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

**Advanced fractal mathematics** by *Gerold van Dijk*

* https://uvs.edu.sr/books/advanced_fractal_math_v2.4.txt
* defunct!

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

## mandelbrot 04:19

# syntax

* `nice -19 fraqtive &`
* type *mandelbrot*
* variant *absolute Im.*
* parameters *x 0.51 y 0.53*
* exponent *real=3.11*
* zoom *10^-0.45*
* rotation *20.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few ms

## Standard Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

**Advanced fractal mathematics** by *Gerold van Dijk*

* https://uvs.edu.sr/books/advanced_fractal_math_v2.4.txt
* defunct!

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

A007618: a(n) = a(n-1) + sum of digits of a(n-1), a(1) = 5
A007618 ➡️ https://oeis.org/A007618

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007618.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007618.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007618.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007618: a(n) = a(n-1) + sum of digits of a(n-1), a(1) = 5
A007618 ➡️ https://oeis.org/A007618

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007618.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007618.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007618.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007618: a(n) = a(n-1) + sum of digits of a(n-1), a(1) = 5
A007618 ➡️ https://oeis.org/A007618

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007618.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007618.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007618.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007618: a(n) = a(n-1) + sum of digits of a(n-1), a(1) = 5
A007618 ➡️ https://oeis.org/A007618

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007618.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007618.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007618.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A007618: a(n) = a(n-1) + sum of digits of a(n-1), a(1) = 5
A007618 ➡️ https://oeis.org/A007618

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A007618.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A007618.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007618.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research